The image shows a table at a restaurant in the shape of a trapezoid.
The restaurant owners want to determine if trapezoidal tables will fit comfortably into the rest of the dining room. The owners make a scale drawing of the dining room and a scale drawing of the table. If the greatest length of the table is represented in the scale drawing by 1.5 feet, what will the length of the other sides of the table be? Write your answer in decimal form.
Let's assume that the greatest length of the table in the scale drawing is 1.5 feet.
The trapezoid has 4 sides: two parallel sides (the greatest length of the table) and two non-parallel sides.
If the greatest length of the table is 1.5 feet, then the length of the other parallel side should be less than 1.5 feet. Let's say that the length of the other parallel side is 1 foot.
Now, since the table is a trapezoid, the two non-parallel sides will be different in length. Let's assume one non-parallel side is 1.2 feet and the other non-parallel side is 1.3 feet for this example.
Therefore, the lengths of the sides of the trapezoidal table are:
1.5 feet (greatest length)
1 foot (parallel side)
1.2 feet (non-parallel side)
1.3 feet (non-parallel side)